t+6=-9t+45

Solution for t+6=-9t+45 equation:

Simplifying
t + 6 = -9t + 45

Reorder the terms:
6 + t = -9t + 45

Reorder the terms:
6 + t = 45 + -9t

Solving
6 + t = 45 + -9t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '9t' to each side of the equation.
6 + t + 9t = 45 + -9t + 9t

Combine like terms: t + 9t = 10t
6 + 10t = 45 + -9t + 9t

Combine like terms: -9t + 9t = 0
6 + 10t = 45 + 0
6 + 10t = 45

Add '-6' to each side of the equation.
6 + -6 + 10t = 45 + -6

Combine like terms: 6 + -6 = 0
0 + 10t = 45 + -6
10t = 45 + -6

Combine like terms: 45 + -6 = 39
10t = 39

Divide each side by '10'.
t = 3.9

Simplifying
t = 3.9